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Finding the Fourth Proportional to 503.92, 752.64 and 431.04

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Solution

The fourth proportional to 503.92, 752.64 and 431.04 is: 643.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.92 : 752.64 = 431.04 : x
  2. Step 2: Convert to fraction form
    503.92/752.64 = 431.04/x
  3. Step 3: Cross multiply
    503.92x = 752.64 × 431.04
  4. Step 4: Simplify right side
    503.92x = 324,417.95
  5. Step 5: Solve for x
    x = 324,417.95/503.92
  6. Step 6: Final answer
    x = 643.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.